(Solved): Let E be the solid bounded above by the sphere x^2 + y^2 + z^2 = 16 and below by the paraboloid z = ...

Let E be the solid bounded above by the sphere x^2 + y^2 + z^2 = 16 and below by the paraboloid z = (x^2 + y^2)/6. (a) Describe the solid E in cylindrical coordinates. (b) Let F(x, y, z) = (x + yz, sin(x^9 z^6), cos(x^7 y^8)). Use the Divergence Theorem to find the flux of F through the boundary of E. Use the outward pointing normal.